Abstract
We study the local structure of the separated point x in the space E(⁎) with respect to properties of its nonincreasing rearrangement x⁎ in the space E. In particular, we get the characterizations of local structure in the Lorentz and Marcinkiewicz spaces. It is worth to mention that the local structure of a separated point can be applicable to the local best dominated approximation problems in Banach lattices.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
